2006 AMC 8 第 6 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
6.
字母 T 由两个 英寸的长方形相邻放置而成，如图所示。这个 T 的周长是多少英寸？
The letter T is formed by placing two inch rectangles next to each other, as shown. What is the perimeter of the T, in inches?
小提示：
先分别计算两个长方形的周长。
Start with the perimeters of the two rectangles separately.
大提示：
共用的内部线段在分别计算周长时被计入，但不属于外周长。
The shared interior segments are counted in the separate perimeters but not in the outside perimeter.
解答：
如果分别计算两个长方形的总周长，会得到
在字母 T 中，它们的相交部分从每个长方形中去掉了一段长度 的边。因此 T 的周长为
所以正确答案是 C。
If we found the total perimeter of the two rectangles separately, we would have gotten
In the letter T, we can see that their intersection removes a piece of length from each of the rectangles. Therefore, the perimeter of the T is
Thus, C is the correct answer.
其他年份的第 6 题
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